Mathematical modeling and mechanisms of pattern formation in ecological systems: a review

GQ Sun, HT Zhang, JS Wang, J Li, Y Wang, L Li… - Nonlinear …, 2021 - Springer
How populations distribute in both space and time is one of the key issues in ecological
systems, which can characterize the relationship between populations, space–time structure …

Metastability as a coexistence mechanism in a model for dryland vegetation patterns

L Eigentler, JA Sherratt - Bulletin of mathematical biology, 2019 - Springer
Vegetation patterns are a ubiquitous feature of water-deprived ecosystems. Despite the
competition for the same limiting resource, coexistence of several plant species is commonly …

Analysis of a model for banded vegetation patterns in semi-arid environments with nonlocal dispersal

L Eigentler, JA Sherratt - Journal of mathematical biology, 2018 - Springer
Vegetation patterns are a characteristic feature of semi-arid regions. On hillsides these
patterns occur as stripes running parallel to the contours. The Klausmeier model, a coupled …

Relationships between plant spatial patterns, water infiltration capacity, and plant community composition in semi-arid Mediterranean ecosystems along stress …

Y Pueyo, D Moret-Fernández, H Saiz, CG Bueno… - Ecosystems, 2013 - Springer
Water redistribution from bare soil to vegetation patches is a key feature of semi-arid
ecosystems, and is responsible for their patchy vegetation patterns. The magnitude of water …

Effects of precipitation intermittency on vegetation patterns in semi-arid landscapes

L Eigentler, JA Sherratt - Physica D: Nonlinear Phenomena, 2020 - Elsevier
Patterns of vegetation are a characteristic feature of many semi-arid regions. The limiting
resource in these ecosystems is water, which is added to the system through short and …

Ecogeomorphological consequences of land abandonment in semiarid Mediterranean areas: Integrated assessment of physical evolution and biodiversity

F Robledano-Aymerich, A Romero-Díaz… - Agriculture, Ecosystems …, 2014 - Elsevier
This paper is based on an integrated assessment of abandoned farmland in the Iberian
Southeast, a representative area of rich-biodiversity landscapes subject to strong physical …

Complexity and coexistence in a simple spatial model for arid savanna ecosystems

M Baudena, M Rietkerk - Theoretical Ecology, 2013 - Springer
Tree–grass coexistence is broadly observed in tropical savannas. Recent studies indicate
that, in arid savannas, such coexistence is stable and related to water availability. The role of …

Species coexistence in resource‐limited patterned ecosystems is facilitated by the interplay of spatial self‐organisation and intraspecific competition

L Eigentler - Oikos, 2021 - Wiley Online Library
The exploration of mechanisms that enable species coexistence under competition for a
sole limiting resource is widespread across ecology. Two examples of such facilitative …

An integrodifference model for vegetation patterns in semi-arid environments with seasonality

L Eigentler, JA Sherratt - Journal of Mathematical Biology, 2020 - Springer
Vegetation patterns are a characteristic feature of semi-deserts occurring on all continents
except Antarctica. In some semi-arid regions, the climate is characterised by seasonality …

An impulsive modelling framework of fire occurrence in a size-structured model of tree–grass interactions for savanna ecosystems

V Yatat, P Couteron, JJ Tewa, S Bowong… - Journal of mathematical …, 2017 - Springer
Fires and mean annual rainfall are major factors that regulate woody and grassy biomasses
in savanna ecosystems. Within the savanna biome, conditions of long-lasting coexistence of …